Chapter 1, Problem 15P

(a)

To determine

The distance between Sun and Earth in meters using powers of 10.

Answer to Problem 15P

The distance between Sun and Earth in meters using powers of 10 is $1.50\times {10}^{11}\text{m}$

Explanation of Solution

Given:

Distance between Sun and Earth = 93 million miles

Formula used:

1 mile = 1609.34 m

Calculation:

The distance between Sun and Earth = 93 million miles

So,

  $\begin{array}{l}d=93\times {10}^6\text{miles}\\ d=93\times {10}^6\times 1609.34\text{m}\\ d=1.50\times {10}^{11}\text{m}\end{array}$

Conclusion:

Thus, the distance between Sun and Earth in meters using powers of 10 is $1.50\times {10}^{11}\text{m}$

(b)

To determine

The distance between Sun and Earth in metric prefix.

Answer to Problem 15P

The distance between Sun and Earth in metric prefix is $149.66\text{Gm}$

Explanation of Solution

Given info:

Distance between Sun and Earth = 93 million miles

Formula used:

1 mile = 1609.34 m

Calculation:

We have distance between Sun and Earth = 93 million miles

  $\begin{array}{l}d=93\times {10}^6\text{miles}\\ d=93\times {10}^6\times 1609.34\text{m}\\ d=149.66\times {10}^9\text{m}\\ d=149.66\text{Gm}\end{array}$

Conclusion:

Thus, the distance between Sun and Earth in metric prefix is

  $149.66\text{Gm}$